Based on Modigliani and Miller's Propositions I and II in a perfect world without taxes nor distress costs, if the original unlevered firm value is $100 million and the CFO is planning to carry out a leveraged recapitalization to a debt equity ratio of 1:2. What’s the levered firm value? If the unlevered equity requires 11% annual return and the debt requires a 5% of annual return, what’s the required return for the levered equity? Please show all steps and equations.